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Title: ISOGEOMETRIC ANALYSIS AND PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR PLATES
Author: Kim, Hyunju
Date Created: 2013
Subjects--Topical: Mechanical engineering, Mathematics
Description: Isogeometric analysis (IGA) is a framework bridging the gap between Computer Aided Design (CAD) and Finite Element Analysis (FEA). So it drastically reduces the error in the representation of the computational domain and the re-meshing by the use ...

Title: Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates
Author: Davis, Christopher
Date Created: 2011
Subjects--Topical: Mechanical engineering, Mathematics
Description: For approximating the solution of partial differential equations (PDE), meshless methods have been introduced to alleviate the difficulties arising in mesh generation using the conventional Finite Element Method (FEM). Many meshless methods introd...

Title: SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
Author: Palta, Birce
Date Created: 2019
Subjects--Topical: Mathematics
Description: We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...